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Mathematics

2 answers:

sergiy2304 [10]4 years ago

5 0

Answer:

A (90 in^2)

Step-by-step explanation:

The formula for the area of a triangle is 1/2 * bh. Plug in the values of the base and height to get 1/2 * 45, which is 22.5. Multiply that by the four triangles to get 90

Eva8 [605]4 years ago

4 0

Answer:

A =90 in^2

Step-by-step explanation:

The area of the rhombus is found by

A = 1/2 d1 * d2 where d1 and d2 are the diagonal lengths

d1 = 2*6 =12

d2 = 2 *7.5=15

A = 1/2 (12*15)

A =90 in^2

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goldfiish [28.3K]

Answer:

$m({\angle CHF})$ = 115°

Step-by-step explanation:

Intersecting chord theorem,

"When two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the arcs intercepted by the angle and its vertical angle."

By this theorem.

$m({\angle CHF})$ = $\frac{1}{2}[m(\widehat{AB}+m(\widehat{FC})]$ ---------(1)

$m(\widehat{AB})$ = 40°

$m(\widehat{FC})=m(\widehat{CD})+m(\widehat{DE})+m(\widehat{EF})$

$m(\widehat{FC})$ = 100° + 60° + 30°

= 190°

By substituting these values in the expression (1)

$m({\angle CHF})$ = $\frac{1}{2}[40+190]$

= 115°

Therefore, $m({\angle CHF})$ = 115°

8 0

3 years ago

The coordinates of a quadrilateral are (1, 2), (4, 2), (1, 4), and (4, 4). After a transformation, the new coordinates are (1, −

Alchen [17]

The coordinates of the original quadrilateral are (1, 2), (4, 2), (1, 4), and (4, 4). After transformation, the new coordinates are (1, −2), (4, −2), (1, −4), and (4, −4). Thus, as we can see, the y coordinates of the original points have been multiplied by-1. This happens only when there is a reflection about the x axis.

Thus, the type of transformation in question here is reflection about the x axis.

Please find the attached graph to get a clearer picture of the explanation given here.